Search a number
-
+
122442984 = 23322373939
BaseRepresentation
bin1110100110001…
…01010011101000
322112101202012100
413103011103220
5222321133414
620052213400
73014514426
oct723052350
9275352170
10122442984
1163130254
123500a260
131c4a0b91
1412394116
15ab39609
hex74c54e8

122442984 has 48 divisors (see below), whose sum is σ = 346039200. Its totient is φ = 39039264.

The previous prime is 122442967. The next prime is 122442997. The reversal of 122442984 is 489244221.

122442984 is a `hidden beast` number, since 1 + 224 + 429 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35314 + ... + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (7209150).

Almost surely, 2122442984 is an apocalyptic number.

It is an amenable number.

122442984 is an abundant number, since it is smaller than the sum of its proper divisors (223596216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122442984 is a wasteful number, since it uses less digits than its factorization.

122442984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73974 (or 73967 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 122442984 is about 11065.3957904812. The cubic root of 122442984 is about 496.5671300816.

The spelling of 122442984 in words is "one hundred twenty-two million, four hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 73939 147878 221817 295756 443634 591512 665451 887268 1330902 1700597 1774536 2661804 3401194 5101791 5323608 6802388 10203582 13604776 15305373 20407164 30610746 40814328 61221492 122442984